Finding the Fourth Proportional to 2,877.42, 3,970.16 and 2,090.10

Step by Step Solution

1. Step 1: Write the proportion equation
   2,877.42 : 3,970.16 = 2,090.10 : x
2. Step 2: Convert to fraction form
   2,877.42/3,970.16 = 2,090.10/x
3. Step 3: Cross multiply
   2,877.42x = 3,970.16 × 2,090.10
4. Step 4: Simplify right side
   2,877.42x = 8,298,031.42
5. Step 5: Solve for x
   x = 8,298,031.42/2,877.42
6. Step 6: Final answer
   x = 2,883.84